Abstract
Coulomb blockade (CB) in a quantum dot (QD) with one anomalously broad level is considered. In this case many consecutive pronounced CB peaks correspond to occupation of one and the same broad level. Between the peaks the electron jumps from this level to one of the narrow levels and the transmission through the dot at the next resonance essentially repeats that at the previous one. This offers a natural explanation to the recently observed behavior of the transmission phase in an interferometer with a QD. Single particle resonances of very different width are natural if the dot is not fully chaotic. This idea is illustrated by the numerical simulations for a non-integrable QD whose classical dynamics is intermediate between integrable and chaotic Possible manifestations for the Kondo experiments in the QD are discussed.
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References
L. P. Kouwenhoven et al., Mesosopic Electron Transport, Proceedings of the NATO ASI, edited by L. L. Sohn, L. P. Kouwenhoven and G. Schön (Kluwer 1997 ).
C. W. J. Beenakker, Rev. Mod. Phys. 69, 731 (1997).
T. Guhr, A. Müller-Groeling and H. A. Weidenmüller, Phys. Rep. 299, 189 (1998).
E. Schuster et al., Nature, 385, 417 (1997);
A. Yacoby et al., Phys. Rev. Lett., 74, 4047 (1995).
E. Bilks et al., Physica, 249–251, 295, 1998; D. Sprinzak and M. Heiblum, unpublished.
D. Sprinzak and M. Heiblum, unpublished.
P. S. Deo and A. M. Jayannavar, Mod. Phys. Lett. 10, 787 (1996)
H. Xu and W. Sheng, Phys. Rev. B57, 11903 (1998);
C.-M. Ryu and S. Y. Cho, Phys. Rev. B58, 3572 (1998);
H.-W. Lee, Phys. Rev. Lett. 82, 2358 (1999).
Y. Oreg and Y. Gefen, Phys. Rev. B55, 13726 (1997).
G. Hackenbroich, W. D. Heiss and H. A. Weidenmiiller, Phys. Rev. Lett. 79, 127 (1997).
R. Baltin et al., cond-mat/9807286.
R. Baltin and Y. Gefen, cond-mat/9907205.
Single charge tunneling: Coulomb blockade phenomena in nanostructures, NATO ASI series, edited by H. Grabert and M. H. Devoret (Plenum press 1992).
K. A. Matveev, Sov. Phys. JETP 72, 892 (1991); Phys. Rev. B 51, 1743 (1995).
S. Tarucha et al., Phys. Rev. Lett. 77, 3613 (1996).
A. Bohr and B. R. Mottelson, Nuclear Structure, Benjamin, New York 1, 284 (1969).
L. D. Landau and E. M. Lifschitz Quantum Mechanics, p. 555, Pergamon, Oxford (1976).
L. I. Glazman and M. E. Raikh, JETP Lett. 47, 452 (1988)
T. K. Ng and P. A. Lee, Phys. Rev. Lett. 61, 1768 (1988)
N. S. Wingreen and Y. Meir, Phys. Rev. B 49, 11040 (1994).
M. Stopa, Physica B 251, 228 (1998).
P. G. Silvestrov and Y. Imry, cond-mat/9903299
D. Goldhaber-Gordon et al., Nature 391, 156 (1998);
D. Goldhaber-Gordon et al., Phys. Rev. Lett. 81, 5225 (1998).
S. M. Cronenwett, T. H. Osterkamp, and L. P. Kouwenhoven, Science 281, 540 (1998).
J. Schmid et al., Physica B 256–258, 182 (1998).
F. Simmel et al., Phys. Rev. Lett. 83, 804 (1999).
F. D. M. Haldane, Phys. Rev. Lett. 40, 416 (1979).
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Silvestrov, P.G., Imry, Y. (2000). Coulomb Blockade in Quantum Dots with Overlapping Resonances: Towards an Explanation of the Phase Behaviour in the Mesoscopic Double-Slit Experiment. In: Kulik, I.O., Ellialtioğlu, R. (eds) Quantum Mesoscopic Phenomena and Mesoscopic Devices in Microelectronics. NATO Science Series, vol 559. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4327-1_12
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DOI: https://doi.org/10.1007/978-94-011-4327-1_12
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